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Finding the Fourth Proportional to 412,502.60, 569,207.98 and 228,736.55

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Solution

The fourth proportional to 412,502.60, 569,207.98 and 228,736.55 is: 315,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,502.60 : 569,207.98 = 228,736.55 : x
  2. Step 2: Convert to fraction form
    412,502.60/569,207.98 = 228,736.55/x
  3. Step 3: Cross multiply
    412,502.60x = 569,207.98 × 228,736.55
  4. Step 4: Simplify right side
    412,502.60x = 130,198,669,577.67
  5. Step 5: Solve for x
    x = 130,198,669,577.67/412,502.60
  6. Step 6: Final answer
    x = 315,631.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.